Frequency-Efficient Receding Horizon H FIR Filtering in Discrete-Time State-Space

Choon Ki Ahn, Shunyi Zhao, Yuriy S. Shmaliy

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We solve a robust receding horizon finite impulse response (FIR) filtering problem in a discrete-time state space in three frequency regions under severe disturbances. Novel design conditions are derived for the finite frequency region FIR filter, called FFFF or 4F, in terms of the linear matrix inequality and equality constraint, such that the 4F ensures the H∞ performance and deadbeat property. The 4F attenuates the effects of disturbances in the user-given low-, middle-, and high-frequency regions. The new design conditions, which do not involve the equality constraint, are also investigated. An example of applications for the F-404 turbofan engine system demonstrates the much better performance of the proposed 4F compared with the existing entire frequency FIR filter and the finite frequency region infinite impulse response filter.

Original languageEnglish
Article number7942113
Pages (from-to)2945-2953
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number11
Publication statusPublished - 2017 Nov

Bibliographical note

Funding Information:
Manuscript received February 22, 2017; revised April 11, 2017 and May 3, 2017; accepted May 11, 2017. Date of publication June 7, 2017; date of current version October 24, 2017. This work was supported in part by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325 and in part by the National Natural Science Foundation of China under Grant 61603155. This paper was recommended by Associate Editor G. J. Dolecek. (Corresponding author: Choon Ki Ahn.) C. K. Ahn is with the School of Electrical Engineering, Korea University, Seoul 136-701, South Korea (e-mail:

Publisher Copyright:
© 2012 IEEE.


  • Finite frequency region
  • deadbeat property
  • finite impulse response
  • robust estimator
  • state estimation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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